Actuarial Notes

SOA Exam P Sample Question 609

Study guide: Exam P-1

Losses under a theft insurance policy have cumulative distribution function

F(x) = \begin{cases}
0, & \text{for } x < 0 \\
c(x^2 + x), & \text{for } 0 \le x \le 5 \\
1, & \text{for } x > 5,
\end{cases}

where c is a constant.

The policy has a deductible of 3.2 for each loss.

Calculate the probability that the insurer will pay something to the policyholder on a given loss.

  • A) 0.296
  • B) 0.360
  • C) 0.448
  • D) 0.552
  • E) 0.704

Answer this question and see the worked solution

Concepts tested

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